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1001321133220 = 225279717899913
BaseRepresentation
bin11101001001000110110…
…00111111010010100100
310112201120210100221120001
432210203120333102210
5112401201202230340
62044000042551044
7132225446125252
oct16444330772244
93481523327501
101001321133220
11356726747931
12142090508484
1373568bc2985
143666daa95d2
151b0a772d29a
hexe92363f4a4

1001321133220 has 24 divisors (see below), whose sum is σ = 2103526293624. Its totient is φ = 400385231616.

The previous prime is 1001321133209. The next prime is 1001321133251. The reversal of 1001321133220 is 223311231001.

1001321133220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 462650273856 + 538670859364 = 680184^2 + 733942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8894017 + ... + 9005896.

It is an arithmetic number, because the mean of its divisors is an integer number (87646928901).

Almost surely, 21001321133220 is an apocalyptic number.

1001321133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001321133220 is an abundant number, since it is smaller than the sum of its proper divisors (1102205160404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001321133220 is a wasteful number, since it uses less digits than its factorization.

1001321133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17902719 (or 17902717 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1001321133220 its reverse (223311231001), we get a palindrome (1224632364221).

The spelling of 1001321133220 in words is "one trillion, one billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2797 5594 11188 13985 27970 55940 17899913 35799826 71599652 89499565 178999130 357998260 50066056661 100132113322 200264226644 250330283305 500660566610 1001321133220